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Finding the Fourth Proportional to 467.28, 698.04 and 452.16

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Solution

The fourth proportional to 467.28, 698.04 and 452.16 is: 675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.28 : 698.04 = 452.16 : x
  2. Step 2: Convert to fraction form
    467.28/698.04 = 452.16/x
  3. Step 3: Cross multiply
    467.28x = 698.04 × 452.16
  4. Step 4: Simplify right side
    467.28x = 315,625.77
  5. Step 5: Solve for x
    x = 315,625.77/467.28
  6. Step 6: Final answer
    x = 675.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.